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Statements

Subject Item
n2:RIV%2F00216305%3A26220%2F08%3APU88398%21RIV15-GA0-26220___
rdf:type
skos:Concept n13:Vysledek
dcterms:description
We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads to interesting observations and simplifications comparing with classical continuous and discrete theories. The obtained theory is applied to an investigation of asymptotic behavior of solutions to linear second order $q$-difference equations. We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads to interesting observations and simplifications comparing with classical continuous and discrete theories. The obtained theory is applied to an investigation of asymptotic behavior of solutions to linear second order $q$-difference equations.
dcterms:title
q-regular variation and q-difference equations q-regular variation and q-difference equations
skos:prefLabel
q-regular variation and q-difference equations q-regular variation and q-difference equations
skos:notation
RIV/00216305:26220/08:PU88398!RIV15-GA0-26220___
n3:aktivita
n14:P n14:Z
n3:aktivity
P(GA201/07/0145), P(KJB100190701), Z(AV0Z10190503), Z(MSM0021630503)
n3:cisloPeriodika
495203
n3:dodaniDat
n15:2015
n3:domaciTvurceVysledku
n10:6093760
n3:druhVysledku
n6:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n19:predkladatel
n3:idSjednocenehoVysledku
391153
n3:idVysledku
RIV/00216305:26220/08:PU88398
n3:jazykVysledku
n7:eng
n3:klicovaSlova
q-calculus, regularly varying function, q-difference equation, asymptotic behavior
n3:klicoveSlovo
n5:regularly%20varying%20function n5:asymptotic%20behavior n5:q-calculus n5:q-difference%20equation
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[713BACAEABD9]
n3:nazevZdroje
Journal of Physics A-Mathematical and Theoretical
n3:obor
n9:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n4:KJB100190701 n4:GA201%2F07%2F0145
n3:rokUplatneniVysledku
n15:2008
n3:svazekPeriodika
41
n3:tvurceVysledku
Vítovec, Jiří Řehák, Pavel
n3:zamer
n11:MSM0021630503 n11:AV0Z10190503
s:issn
1751-8113
s:numberOfPages
10
n16:organizacniJednotka
26220